Answer:
The answer is option d.
To find a we have to first find b
sin 60° = b / 10
b = 10 sin 60°
b = 5√3
sin 30° = b / a
b = 5√3
a = 5√3 sin 30°
a = 10√3
cos 30° = c / a
a = 10√3
c = 10√3 sin 30°
c = 15
cos 60° = d /10
d = 10 cos 60°
d = 5
a = 10√3 , b = 5√3 , c = 15 and d = 5
Hopethis helps.
Answer:
1. Linear
2. Nonlinear
3. Linear
4. Linear
5. Nonlinear
Step-by-step explanation:
Thies equation are in the form y=mx+b. Where m is the slope and b is the y-intercept. To solve them you neeed to see the power x is taken to. If the power on x is bigger than 1 than one, then it will curve at some point. This makes 2 and 5 nonlinear
Answer:
the common ratio is either 2 or -2.
the sum of the first 7 terms is then either 765 or 255
Step-by-step explanation:
a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.
so,
a1
a2 = a1×f
a3 = a2×f = a1×f²
a4 = a3×f = a1×f³
the problem description here tells us
a3 = 4×a1
and from above we know a3 = a1×f².
so, f² = 4
and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).
again, the problem description tells us
a2 + a4 = 30
a1×f + a1×f³ = 30
for f = 2
a1×2 + a1×2³ = 30
2a1 + 8a1 = 30
10a1 = 30
a1 = 3
for f = -2
a1×-2 + a1×(-2)³ = 30
-10a1 = 30
a1 = -3
the sum of the first n terms of a geometric sequence is
sn = a1×(1 - f^(n+1))/(1-f) for f <>1
so, for f = 2
s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765
for f = -2
s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =
= -1×-255 = 255
Answer:
-2
Step-by-step explanation:
